On the conundrum of deriving exact solutions from approximate master equations
Quantum Physics
2008-05-13 v2 Statistical Mechanics
Abstract
We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local master equation approach already in second order of the system-bath coupling strength. We reveal that this equivalence holds if the initial state of the bath can be mapped to a Gaussian phase-space distribution function. Moreover, we discuss the relation to the standard Bloch-Redfield approach.
Cite
@article{arxiv.0707.3938,
title = {On the conundrum of deriving exact solutions from approximate master equations},
author = {Roland Doll and David Zueco and Martijn Wubs and Sigmund Kohler and Peter Hanggi},
journal= {arXiv preprint arXiv:0707.3938},
year = {2008}
}
Comments
7 pages; revised version; to appear in Chem. Phys